Results 51 to 60 of about 145 (136)

A Generalization of Jacobsthal and Jacobsthal-Lucas numbers

, 2019
In this paper, we study a generalization of Jacobsthal and Jacobsthal-Lucas numbers, we find their generating function binet formulas, related matrix representation and many other ...
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Recent Developments and Applications on Qualitative Theory of Fractional Equations and Related Topics

, 2015
Abstract and Applied Analysis, Volume 2015, Issue 1, 2015.
Shurong Sun, Luisa Morgado, Jehad Alzabut, Ivanka Stamova   +3 more
wiley   +1 more source

A new approach to Jacobsthal, Jacobsthal-Lucas numbers and dual vectors

AIMS Mathematics, 2023
<abstract><p>This paper gives a detailed study of a new generation of dual Jacobsthal and dual Jacobsthal-Lucas numbers using dual numbers. Also some formulas, facts and properties about these numbers are presented. In addition, a new dual vector called the dual Jacobsthal vector is presented. Some properties of this vector apply to various
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Sums of generalized third-order Jacobsthal numbers by matrix methods

Trends in Computational and Applied Mathematics
In this paper, we consider a certain third-order linear recurrence and then give generating matrices for the sums of positively and negatively subscripted terms of this recurrence.
G. Cerda-Morales
doaj   +1 more source

Horadam–Lucas Cubes

Axioms
In this paper, we introduce a novel class of graphs referred to as the Horadam–Lucas cubes. This class extends the concept of Lucas cubes and retains numerous desirable properties associated with them.
Elif Tan, Luka Podrug, Vesna Iršič Chenoweth   +2 more
doaj   +1 more source

Arctangent Identities Involving the Jacobsthal and Jacobsthal-Lucas Numbers

Electronic Journal of Mathematical Analysis and Applications
This study presents novel arctangent identities that establish connections between the Jacobsthal and Jacobsthal-Lucas numbers. These findings contribute to the understanding of the interplay between trigonometric functions and number theory, particularly in relation to well-known mathematical sequences and constants.
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Hyperbolic Jacobsthal Numbers

Asian Research Journal of Mathematics, 2019
In this paper, we introduce the Hyperbolic Jacobsthal numbers and we present recurrence relations, Binet's formulas, generating functions and the summation formulas for these numbers. Moreover, we investgate Lorentzian inner product for the hyperbolic Jacobsthal vectors.
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A combined approach to Perrin and Padovan hybrid sequences. [PDF]

Heliyon, 2021
Jafari Petroudi SH, Pirouz M, Karaca E, Yılmaz F.   +3 more
europepmc   +1 more source

The Adjacency-Jacobsthal-Hurwitz type numbers

Filomat, 2018
In this paper, we define the adjacency-Jacobsthal-Hurwitz sequences of the first and second kind. Then we give the exponential, combinatorial, permanental and determinantal representations and the Binet formulas of the adjacency-Jacobsthal-Hurwitz numbers of the first and second kind by the aid of the generating functions and the generating
Deveci, Ömür, Aküzüm, Yeşim
openaire   +3 more sources

Binomial sums with k-Jacobsthal and k-Jacobsthal–Lucas numbers

Notes on Number Theory and Discrete Mathematics, 2022
In this paper, we derive some important identities involving k-Jacobsthal and k-Jacobsthal–Lucas numbers. Moreover, we use multinomial theorem to obtain distinct binomial sums of k-Jacobsthal and k-Jacobsthal–Lucas numbers.
openaire   +1 more source